1. Curriculum Team Scope and Sequence Team
    2. Sue Delperdange Linda Casey, Ontario Primary
    3. Carolyn Stowe Marlena Dietrich, Ontario Primary
    4. Kim Mietus Anne Koestner, Freewill Elementary
    5. Sandy Carp Donna Stalker, Ontario Elementary
    6. Julie Diffenderfer Lynn Young, Middle School
  1.  Anne Willkens Leach, District Office
    1. I.  District Philosophy
    2. I. District Philosophy
    3. Health, Physical Education, and Home Economics
    4. Mathematics, Science, and Technology
    5. English Language Arts
    6. Languages Other Than English
    7. The Arts
    8. Career Development and Occupational Studies
    9. Social Studies
  2. 3. Fractions and Decimals
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
          5. F. References and Resources
          6. B. Unit Assessment
          7. C. Rubric
          8. D. Activities
          9. E. Vocabulary
          10. F. References and Resources
      1. Unit Three
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
          5. F. References and Resources
          6. B. Unit Assessment
          7. C. Rubric
          8. D. Activities
          9. E. Vocabulary
          10. F. References and Resources
          11. B. Unit Assessment
          12. C. Rubric
          13. D. Activities
          14. E. Vocabulary
          15. F. References and Resources

Wayne Central School District
Ontario Center, NY 14519
 
 

 
 
 
 
 
THIRD GRADE
Draft
 
 
Revised: June 12, 2001
August 16, 2001
 

 


Curriculum Team Scope and Sequence Team



Curriculum Team  Scope and Sequence Team


Sue Delperdange Linda Casey, Ontario Primary



Sue Delperdange  Linda Casey, Ontario Primary


Carolyn Stowe Marlena Dietrich, Ontario Primary



Carolyn Stowe  Marlena Dietrich, Ontario Primary


Kim Mietus Anne Koestner, Freewill Elementary



Kim Mietus  Anne Koestner, Freewill Elementary


Sandy Carp Donna Stalker, Ontario Elementary



Sandy Carp  Donna Stalker, Ontario Elementary


Julie Diffenderfer Lynn Young, Middle School



Julie Diffenderfer  Lynn Young, Middle School

Back to top


 Anne Willkens Leach, District Office
 

 
 
 

TABLE OF CONTENTS
 
 
 


I.  District Philosophy



I.  District Philosophy
 
II.  District Mission Statement
 
III.  NYS Learning Standards
 
IV.  Commencement Outcomes
 
V.  Scope and Sequence
 
VI.  Course Overview with Major Topics
 
VII.  Instructional Outline
 
VIII.  Course Benchmarks
 
IX.  Units of Study:
 
Unit One: Numbers and Numeration
Unit Two: Operations
Unit Three: Fractions and Decimals
Unit Four: Probability and Statistics
Unit Five: Geometry and Measurement
 
X.  Course Assessment
 
XI.  Curriculum Review Process
 


I. District Philosophy



I.  District Philosophy
 
 

The Wayne Central School District believes that the goal of education is the all-around development of each student. The role of the school is to enable individuals to develop to their fullest potential.
 
The school, in cooperation with the home and community, will assist the student with intellectual, social, cultural, emotional, physical and moral growth. The school should help create within each student an awareness of civic responsibilities and respect for authority to assist the student in becoming a well-integrated, responsible person capable of assuming a vital role in an evolving civilization.
 
The Wayne Central School District subscribes to the general theory of individual differences; namely, that each student is an individual and has innate abilities, ambitions, and emotions. In the process of educating this individual, the program should provide a challenge while reflecting a concern for needs based on individual capabilities.
 
The Wayne Central School District further subscribes to the following fundamental principles:
 
1.  Children, regardless of potential, are capable of learning and acquiring the skill and knowledge needed to function to the best of their ability in our society,
 
2.  Our responsibility is to see that children learn. The energies of all participants should be focused on achieving the desired outcomes. Accountability does not end with following established rules and procedures; its essence is found in results,
 
3.  Minimum competence, while necessary, is not enough. Successful participation in our society demands much more. All children are entitled to approved curriculum, to instructional methods, and to expectations that challenge them to perform at their best, and help them to become truly proficient in knowledge and skills,
 
4.  Every child in New York State is entitled to the resources necessary to provide the sound, basic education that the state constitution requires,
 
5.  Each participant in the educational system should have the opportunity to effectively discharge his or her responsibility, and each participant should be held accountable for achieving desired results. This principle applies to all participants in the educational process – students, parents, teachers, counselors, librarians, administrators, the Board of Education, and others,
 
6.  Achievement of desired results by individuals and groups should be rewarded. Creativity in our students needs to be nurtured and encouraged. Occasional failure in a large and diverse system us probably unavoidable. However, failure should not be permitted to persist. When it occurs, with either individuals or groups, help should be provided and the situation changed.
 

II.  District Mission Statement:
 
Based upon the belief that all students can learn, the staff of Wayne Central School district accepts the responsibility to teach all students regardless of differences, the fundamental skills. We further accept the responsibility to challenge all students to attain higher levels of achievement. Wayne Central will provide the opportunity, environment, and encouragement to meet this goal while developing the whole child physically, emotionally, and culturally.
 

III. NYS Learning Standards:
 


Health, Physical Education, and Home Economics



Health, Physical Education, and Home Economics
1.  Personal Health and Fitness – Students will have the necessary knowledge and skills to establish and maintain physical fitness, participate in physical activity, and maintain personal health.
2.  A Safe and Healthy Environment – Students will acquire the knowledge and ability necessary to create and maintain a safe and healthy environment
3.  Resource Management – Students will understand and be able to manage their personal and community resources.
 


Mathematics, Science, and Technology



Mathematics, Science, and Technology
1.  Analysis, Inquiry, and Design – Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions.
2.  Information Systems – Students will access, generate, process, and transfer information using appropriate technologies
3.  Mathematics – Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.
4.  Science – Students will understand and apply scientific concepts, principles, and theories pertaining to the physical setting and living environment and recognize the historical development of ideas in science.
5.  Technology – Students will apply technological knowledge and skills to design, construct, use, and evaluate products and systems to satisfy human and environmental needs.
6.  Interconnectedness: Common Themes – Students will understand the relationships and common themes that connect mathematics, science, and technology and apply the themes to these and other areas of learning.
7.  Interdisciplinary Problem Solving – Students will apply the knowledge and thinking skills of mathematics, science, and technology to address real-life problems and make informed decisions.
 


English Language Arts



English Language Arts
1.  Students will listen, speak, read and write for information and understanding. As listeners and readers, students will collect data, facts and ideas; discover relationships, concepts, and generalizations; and use knowledge generated from oral, written, and electronically produced texts. As speakers and writers, they will use oral and written language that follows the accepted conventions of the English language to acquire, interpret, apply, and transmit information.
22.  Language for Literary Response and Expression – Students will read and listen to oral, written, and electronically produced texts and performances from American and world literature; relate texts and performances to their own lives; and develop an understanding of the diverse social, historical, and cultural dimensions the texts and performances represent. As speakers and writers. Students will use oral and written language that follows the accepted conventions of the English language for self-expression and artistic creation.
3.  Language for Critical Analysis and Evaluation – Students will listen, speak, read and write for critical analysis and evaluation. As listeners and readers, students will analyze experiences, ideas, information, and issues presented by others using a variety of established criteria. As speaker and writers, they will use oral and written language that follows the accepted conventions of the English language to present, from a variety of perspectives, their opinions and judgements on experiences, ideas, information and issues.
4.  Language for Social Interaction – Students will listen, speak, read, and write for social interaction. Students will use oral and written language that follows the accepted conventions of the English language for effective social communication with a wide variety of people. As reader and listeners, they will use the social communications of others to enrich their understanding of people and their views.
 
 
 
 
 
 


Languages Other Than English



Languages Other Than English
1.  Communication Skills – Students will be able to use a language other than English for communication.
2.  Cultural Understanding – Students will develop cross-cultural skills and understandings.
 


The Arts



The Arts
1.  Creating, Performing, and Participating in the Arts – Students will actively engage in the processes that constitute creation and performance in the arts (dance, mucus, theatre, and visual arts) and participate in various roles in the arts.
2.  Knowing and Using arts materials and Resources – Students will be knowledgeable about and make use of the materials and resources available for participation in the arts in various roles.
3.  Responding to and Analyzing Works of Art – Students will respond critically to a variety of works in the arts, connecting the individual work to other works and to other aspects of human endeavor and thought.
4.  Understanding the Cultural Contributions of the Arts – Students will develop an understanding of the personal and cultural forces that shape artistic communication and how the arts in turn shape the diverse cultures of past and present society.
 


Career Development and Occupational Studies



Career Development and Occupational Studies
1.  Career Development – Students will be knowledgeable about the world of work, explore career options, and relate personal skills, aptitudes, and abilities to future career decisions.
2.  Integrated Learning – Students will demonstrate how academic knowledge and skills are applied in the workplace and other settings.
3.  Universal Foundation Skills – Students will demonstrate mastery of the foundation skills and competencies essential for success in the workplace.
44.  Career Majors – Students who choose a career major will acquire the career-specific technical knowledge/skills necessary to progress toward gainful employment, career advancement, and success in postsecondary programs.
 


Social Studies



Social Studies
1.  History of the United State and New York – Students will use a variety of intellectual skills to demonstrate their understanding of major ideas, eras themes, developments, and turning points in the history of the United States and New York.
2.  World History – Students will use a variety of intellectual skills to demonstrate their understanding of major ideas, eras, themes, developments and turning points in world history and examine the broad sweep of history from a variety of perspectives.
3.  Geography – Students will use a variety of intellectual skills to demonstrate their understanding of the geography of the interdependent world in which we live – local, national and global – including the distribution of people, places, and environments over the Earth’s surface.
4.  Economics – Students will use a variety of intellectual skills to demonstrate their understanding of how the United States and other societies develop economic systems and associated institutions to allocate scarce resources, how major decision-making units function in the United States and other national economies, and how an economy solves the scarcity problem through market and nonmarket mechanisms.
5.  Civics, Citizenship, and Government – Students will use a variety of intellectual skills to demonstrate their understanding of the necessity for establishing governments; the governmental system of the United States Constitution; the basic civil values of American constitutional democracy; and the roles, rights, and responsibilities of citizenship including avenues of participation.
 

IV.  Commencement Outcomes
 
 

"Adult Roles, Skills & Knowledge"
 
 
 

CITIZEN
 
A citizen is a responsible, law-abiding member of society who:
 
  Has a strong sense of values;
  Knows right from wrong;
  Is aware of community news, issues and norms;
  Accepts diversity in ethnicity and belief;
  Has knowledge of government at all levels and issues relative to each;
  Associates with others in positive and productive ways.
 
 
LIFE - LONG LEARNER
 
A life-long learner is one who perseveres, is self-motivated, is innately curious, focused and:
 
  Is able to set goals;
  Adheres to deadlines/due-dates, has time management skills and abilities;
  Is a problem solver, can define problems, analyze information and task analyze/prioritize potential solutions, has the ability to select the best "tool/strategy" for the situation, and can enlist others in the process of evaluation and refocusing.
 
 
LEADER
 
A leader is a problem solver with effective communication skills. He/she has an ability to motivate others and:
 
  Is a strong willed person with vision, beliefs and convictions to carry out each.
  Is able to recognize and effectively use all resources, such as material, time and human
  Is responsible and accountable for self and others.
 
 
WORKER/WAGE EARNER/BUSINESS OWNER
 
A worker/wage earner is an individual who is trust worthy, moral and ethical, and who:
 
  Possess basic job skills with a willingness to change, grow and develop new skills;
  Is a good communicator;
  Demonstrates leadership skills and initiative and the ability to work as a team player;
  Is responsible, reliable and respectful to others;
  Has the ability to make sound decisions.
 
 
 
 
 
 
CONSUMER
 
A consumer is an individual who has knowledge of the global economy and:
 
  Utilizes and applies budgeting skills and credit awareness;
  Maintains long-terms personal financial planning (savings, banking, retirement);
  Understand one's rights, responsibilities and risks.
 
 
COUNSELOR/TEACHER/MENTOR
 
A counselor/teacher/mentor is an individual who is patient, self-confident, assertive leader who:
 
  Is a problem solver and can guide others to solve problems;
  Is an active listener;
  Is aware of issues, societal, family, religious differences and different customs;
  Has interpersonal skills and values others opinions.
 
 
PARENT/FAMILY MEMBER
 
A parent/family member is an individual who:
 
  Is nurturing and loving;
  Displays flexibility;
  Has high character and morals;
  Is accountable and consistent with respect to expectations and follow through;
  Becomes actively involved in their children and family's education and other pursuits.
 
 
FRIEND
 
A friend is an individual who shows great interest and respect for others, and who:
 
  Is non-judgmental and available when a time of need arises;
  Is unselfish, honest, supportive, caring and genuine;
  Is an open-minded listener who seeks to understand before being understood;
  Give him/herself to other without expectations of compensation or return of favor.
 
 
 
 
 
 
 

V.  Scope and Sequence
 

 

 
 
 

 
 
 

 
 
 

 
 

 
Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Numbers and Numeration
Conservation of Numbers
                     
N1 One to one correspondence
2A
T
M
R
             
N2  Counting cardinal numbers up to 100 by ones and tens  
2A, 2D
I
T
M
R
R
         
N3 Counting to 100, forward and backward by ones and twos, on a number line matching of words and symbols 0-15
2A
   
M
R
R
R
       
N4 Place value to 100
2C
 
T
M
R
R
         
N5 Estimate quantity and grouping by using manipulatives, expanded notation 17=10+7
6A
 
T
M
R
R
         
N6 Introduce concept of odd and even
2B
 
I
T
M
R
         
N7 Introduce symbols =,<,>
7B
 
I
I
T
M
R
R
     
N8 Counting ordinal numbers 1-5
2A, 2D
I
T
M
R
           
N9 Counting ordinal numbers 6-10
2A, 2D
 
I
M
R
           
N10 Develop concept of first, middle, last
2A
I
M
R
             
N11 Investigate patterns for sums and differences using concrete models
3A
 
I
M
R
R
         
Strand
Standard
PK
K
1
2
3
4
5
6
7
8
N12 Counting orally ordinal numbers 1st to 31st and beyond
2A, 2B
 
I
T
M
R
         
N13 Count to 1,000
2A, 2B
   
I
M
R
         
N14 Count by 2’s, 3’s 4’s 5’s and 10’s using a number line and number charts
2A, 2B
 
I
T
M
R
         
N15  Write numbers 0-10  
7B
I
T
M
R
           
N16 Place value to 999, expanded notation 999=9 hundreds+9 tens + 9 ones: 900 + 90 + 9
2B
     
T
M
R
       
N17 Rounding using a number line to 100
6A
   
I
T
M
R
       
N18 Count cardinal numbers through 100,000
2A
     
I
T
M
R
     
N19 Count ordinal numbers through 500
2A
     
I
T
M
       
N20 Count to 100’s by 2’s, 3’s, 4’s, 5’s and 10’s
2B
   
I
T
M
R
       
N21 Use place value in decimals and in reading numbers through 100,000 with money
2A
     
I
T
M
R
     
N22 Round numbers to hundreds
6A
     
I
M
R
       
N23 Round numbers to thousands
6A
       
T
M
R
     
N24 Introduce concept of positive and negative integers (temperature)
2B
   
I
I
M
R
R
     
N25 Predict odd or even numbers in addition and subtraction
2B, 7B
     
T
M
R
       
N26 Read and write whole numbers to hundred millions
2A, 2C
       
I
M
R
R
   
N27 Skip count to numbers greater than 100
2B
   
I
I
T
M
R
R
   
N28 Extend place value to concepts to millions and hundredths
2C
     
I
T
M
R
     
N29 Round numbers to nearest whole number
6D
     
I
T
M
R
     
N30 Predict when product of two numbers will be odd or even
2B, 7B
       
T
M
R
     

 
 


 
Strand
Standard
PK
K
1
2
3
4
5
6
7
8
N31 Continue discussion of positive and negative numbers, temperature
2B
         
M
R
     
N32 Look for patterns in sequences of positive numbers
1B
   
I
I
T
M
R
     
N33 Read and write numbers to one billion
2A
         
T
M
R
   
N34 Investigate powers of 10 in place value (hundreds place is 10 squared or 10x10)
2A
           
I
T
   
N35 Express numbers in expanded notation using powers of 10
2A
         
I
M
R
   
N36 Round off numbers to nearest 10,000
6A
         
I
M
R
   
N37 Use number line as aid in understanding negative concept
2D
           
M
R
   

 
 
 
 
 
 
 
 
 
 
 
 
 
 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Operations With Whole Numbers and Integers
                     
O1 Addition and subtraction of whole numbers: combine sets to produce new sets and explore the idea of one more
3A
I
T
M
R
R
         
O2 Sharing of sets such as cookies or crayons as objects for Multiplication and Division
3A
 
T
M
R
R
         
O3 Introduce role of zero in addition and subtraction
3B, 3C
 
T
M
R
R
         
O4 Practice addition and subtraction of sums and differences through 10
3A
I
T
M
R
R
         
O5 Add three numbers with sum being 10 or less
3D
 
I
M
R
R
         
O6 Develop concept of order
3C, 3D
 
I
M
R
R
         
O7 Regrouping of two digit numbers
3A
     
T
M
         
O8 Explore inequality in number sentences 2<3
7C
 
I
T
M
R
         
O9 Explore different groupings when adding three or more numbers (associative property) 2+(6+4) with or without manipulatives
3D
 
I
T
M
R
         
O10 Show inverse operations (addition and subtraction)
3A
   
I
M
R
         
O11 Explore multiplication and division through sharing sets or groups
3B
   
I
T
M
         
O12 Show inverse operations of multiplication and division
3B, 3C
     
T
M
R
       

 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
O13 Show that order of factors in multiplication problems does not change answer (cumulative property)
3B, 3C
   
T
M
R
         
O14 Practice estimation with operations
6B
     
T
M
R
       
O15 Addition and subtraction mastering sums and differences through 18
3A, 3C
   
T
M
R
         
O16 Add and subtract three digit numbers with no regrouping
3A
     
T
M
         
O17 Addition and subtraction up to two digit numbers requiring regrouping
3A
     
T
M
         
O18 Add and subtract 2,3, and 4 digit numbers totaling 10,000 or less
3A
       
M
R
       
O19 Explore role of 0 and 1 in multiplication (identify)
3C
     
I
T
M
       
O20 Experiment with grouping (associative of multiplication)
3D
       
T
M
       
O21 Work with multiplication and division products and quotients through 100
3C
     
I
T
M
       
O22 Study of algorithms for division (one digit divisor)
3A
       
T
M
       
O23 Study of commutative property by name (multiplication)
3B
       
T
M
       
O24 Explore division in finding number of equal groups of items
1A
   
I
I
T
M
R
     
O25 Emphasize multiplication and division being inverse operations
3B
       
T
M
R
     
O26 Concepts of equality and inequality in all four operations
7B, 7C
       
M
R
R
     
O27 Add and subtract whole numbers with sums less than one million
3A
       
T
M
R
     



Strand
Standard
PK
K
1
2
3
4
5
6
7
8
O28 Subtract whole numbers when zero is in the minuend with regrouping
3A
     
T
M
R
       
O29 Estimation of sums and differences prior to computation
1D, 6E
     
I
T
M
R
R
   
O30 Find missing addends in an addition sentence
1D
   
I
T
T
M
R
     
O31 Introduce concept of a prime factor
2B
         
M
R
     
O32 Multiplication of three digit numbers by two digits
3A
       
I
M
R
     
O33 Multiplication by multiples of 10
3A
       
T
M
R
     
O34 Find common factors of groups of numbers less than 100
2B, 2D
       
T
M
R
     
O35 Begin concept of least common factor and greatest common multiple
2B, 2D
         
T
M
R
   
O36 Find quotient and remainder when three digit number is divided by one digit number
3A
       
T
M
R
     
O37 Find quotient and remainder when three digit number is divided by a two digit number
3B
         
T
M
     
O38 Use inverse operations to check division by multiplication
3B
       
T
M
R
     
O39 Investigate distributive property 326X4= (300X4) + (20X4) +6X4))
3B
       
T
M
R
     
O40 Quick review of operations
3A
           
M
     
O41 Literal problems using single operations across curriculum
3A
       
T
T
M
R
   
O42 Develop concept of order of operation (addition, subtraction, multiplication, and division)
3B
           
I
T
M
 		  
O43 Continue to find greatest common factor and least common multiple
2C
           
T
M
R
 		  


Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Fractions and Decimals
                     
F1 Awareness in daily life (money)
5B
 
M
               
F2    Concept of half  
2B
 
M
               
F3 Develop concept of unit fractions
2B
   
M
R
R
         
F4 Develop concept of oneness
2B
   
M
R
R
         
F5 Explore many to one (five fingers to one hand)
2E
   
M
             
F6 Use money to develop concept of decimals
2C
   
T
M
           
F7 Relate units to whole
2D
     
T
M
R
       
F8 Unit fractions to 1/8, 1/10
2D
     
T
M
R
       
F9 Location of halves on number line and ruler
2D
     
T
M
R
       
F10 Find 1/2, 1/3, 1/4 of a collection
2D
     
T
M
R
       
F11    Relate many to one in preparation for the concept of ratio (5 fingers to 1 hand)
2E
   
I
T
           
F12 Concept of ratio
2E
     
T
M
R
       
F13    Explore money notation using two place decimals  
2C
   
I
M
R
         
F14 Order unit fractions using < and > symbols with denominators 2,3,4,5,6,8,10,12
2B, 2D
       
T
M
R
     
F15 Review concept of 1=2/2 etc.
2B
       
M
         

 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
F16 Use terms numerator and denominator
2B
   
I
I
M
R
       
F17 Find equivalent fractions
2B
       
T
M
R
     
F18 Relate fractions and decimals to money and metric system
2A
       
T
M
R
     
F19 Add and subtract like denominators
2B
       
I
T
M
     
F20 Add and subtract decimals with one tenth
2B
       
M
R
       
F21 Compare fractions on a number line and decimals to tenths
2B
       
T
M
R
     
F22 Study order of unit fractions
2B
       
T
M
R
     
F23 Correlate the common fraction notation for decimals to the tenths place (1/10 =0.1, .1, etc.)
2B
         
M
R
     
F24 Add and subtract fractions with unlike denominators
2B
         
I
T
M
R
 		  
F25 Add and subtract decimals to the hundredths place
2D
       
T
M
R
R
   
F26 Multiply decimal to tenths
3A
         
T
M
R
   
F27 Practice locating decimal points in products
2D
         
T
M
R
   
F28 Develop concept of proper and improper fractions
2A
         
T
M
R
   
F29 Develop concept of percent in multiples of five
2E
         
T
M
R
   
F30 Continue addition and subtraction of fractions with like and unlike denominators
3A
         
T
M
R
   
F31 Change improper fractions to mixed number
2A
           
T
M
R
 		  
F32 Compare fractions to fractions and decimals to decimals
2D
           
T
M
R
 		  
F33 Addition and subtraction of decimals with hundredths and thousandths
3A
         
T
M
R
   


Strand
Standard
PK
K
1
2
3
4
5
6
7
8
F34 Multiply and divide decimals to hundredths
3A
         
T
M
R
   
F35 Multiply and divide decimals by powers of 10
3A
           
I
T
M
 		  
F36 Round off decimals to thousandths
6A
           
T
M
R
 		  
F37 Use pictures and or graphic illustrations to demonstrate multiplication and division of fractions
1A, 3D
           
M
R
   
F38 Practice writing equivalent forms of common fractions
and decimals 1/2 = .5
2A, 2B
           
T
M
R
 		  
F39 Multiplication of fractions
2A, 2B
           
T
M
   
F40 Multiplication and mixed numbers and division of fractions
2A, 2B
           
I
M
   


Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Probability and Statistics
                     
P1  Organize and classify data (e.g. color, size, and shape)
4B, 5D
I
M
               
P2    Likeness and difference concept of more, less and same
4B
 
T
M
R
           
P3    Certainty and uncertainty/ guessing and estimation
6A, 6B
 
T
M
R
           
P4  Collect data and record results  
4B
 
I
T
M
R
         
P5  Practice prediction  
6C
 
I
T
M
R
         
P6  Collect and tabulate data  
4B, 4C
 
I
T
M
R
         
P7 Arrange data using tables and graphs
4B, 4C
 
I
T
M
R
         
P8 Compare data
4B, 5E, 7D
 
I
T
M
R
         
P9 Investigate beginning logic
1D
 
I
T
M
R
         
P10 Collect statistical data from newspapers, magazines, polls, and activities in other content areas
6G
     
I
T
M
R
     
P11 Organize data using tables and bar graphs
4B, 7F
 
I
I
I
T
M
R
     
P12 Discuss graphs used in everyday publications
4B, 7F
     
I
T
M
R
     
P13 Conduct experiments and predict outcomes
6F
     
T
M
R
R
     

 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
P14 Use fractional notation to express probability of outcomes
6H
     
I
T
M
R
     
P15 Use orderly methods to count number of outcomes in an experiment (pictures, models, tree diagrams)
6H
     
I
T
M
R
     
P16 Introduce logic concepts
1D
   
I
T
M
R
R
     
P17 Make frequency tables from tallied data
5E, 6G
   
I
I
T
M
R
     
P18 Use models, pictures and tree diagrams
6E
       
T
M
R
     
P19 Examine range and differences between smallest and largest
7F
     
I
T
M
R
     
P20 Develop concept of average (arithmetic mean)
7F
         
T
M
     
P21 Continue to explore methods of collecting and analyzing data
5D
       
I
T
M
R
   
P22 Use tables, graphs and diagrams to represent collected data
5E
       
I
T
M
R
   
P23 Use compass and protractors to construct circle graphs
4I
           
I
I
T
M
P24 Continue to investigate logic concepts
1D
       
T
M
R
R
   
P25 Compare bar, line and circle graphs which represent same information
5E
           
T
M
R
 		  
P26 Determine probabilities of independent events
6E
       
I
T
T
M
R
 		  
P27 Make arrangements and combinations
6C
         
T
T
M
R
 		  

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Geometry and Measurement
                     
G1 Compare dimensions of various objects using terms like larger than, taller than, smaller than, shorter than, as long as, farther, or nearer; measure objects using non-standard units
5A, 5C
I
M
R
             
G2 Compare capacity of containers using sand and water
5B
I
T
M
R
           
G3 Compare temperatures/duration of time
5A, 5B
I
M
R
             
G4 Weighing experiences using terms heavier than and lighter than
5A
 
T
M
R
           
G5 Observe objects in the environment that have geometric shapes; make geometric pictures, patterns, and designs using geometric shapes.
4D, 7A, 7E
I
M
R
             
G6 Study time to the hour, day, month, and year using clocks and calendars
5A, 5B
I
T
M
R
           
G7 Investigate how to make change for amounts of money
5B
 
I
T
M
R
         
G8 Use meter, centimeter, and decimeter for measuring length
5A, 5C
   
T
M
R
R
       
G9 Introduce kilogram, liter, and Celsius thermometer
5C
   
T
M
R
         
G10 Identify shapes in everyday life
4E
I
T
M
R
           
G11 Measure objects using non-standard units
5A, 5B
 
I
M
R
           

 
 
 
 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
G12 Weigh objects using grams, kilograms
5B, 5C
     
M
R
         
G13 Measure time in half hours, quarter hours, and 5 minutes intervals
5A, 5B
   
I
T
M
         
G14 Make change up to $1.00
5C
     
T
M
R
       
G15 Measure liquids in liters, milliliters
5C
     
M
R
         
G16 Practice addition of measures
3A
     
M
R
         
G17 Use shapes to create designs
4A
 
I
T
M
R
         
G18 Observe two and three dimensional objects
7G
   
I
M
R
         
G19 Introduce English units of measure
5D
 
I
T
M
R
         
G20 Select and use appropriate measurement tools
5D
   
I
T
M
R
       
G21 Estimate using actual units of measure
6B
   
T
M
R
         
G22 Identify equivalent measures within a measuring system
5B
     
T
M
R
       
G23 Introduce coordinate geometry (positive)
4B
       
M
         
G24 Relate the clock to fractions as well as circle construction
5B
   
I
T
M
R
       
G25 Find the perimeter of polygons
5D
     
T
M
R
       
G26 Investigate properties of plane figures (number of sides, number of angles)
4A
       
T
M
R
     
G27 Plane figures (polygons and circles)
4E
 
I
T
T
M
R
       
G28 Explore three dimensional figures to understand volume (taking up space)
4C
       
T
M
R
M
   
G29 Learn how to use a compass and protractor
4E
         
I
T
M
   

 

Strand
Standard
PK
K
1
2
3
4
5
6
7
8
G30 Continue to investigate symmetry
4E
   
I
T
M
         
G31 Find perimeter, area and volume of specific figures by counting units
4C
       
T
M
R
     
G32 Use rulers, protractors and compasses to construct plane geometric figures (circles and squares, etc.)
4E
       
I
T
T
     
G33 Use terms such as polygon, circle, chord, radius, angle, diameter, face edge, vertex, line segment, point parallel and perpendicular and intersecting
4E
       
I
T
T
     
G34 Extend work in coordinate geometry to both positive and negative coordinates
2B
       
I
T
M
     
G35 Be familiar with common metric units used in everyday life
5A
       
I
T
M
     
G36 Continue to study perimeter and area using graph paper and manipulative
5B
       
I
T
M
R
   
G37 Develop formulas for the area and perimeter of squares and rectangles
5C
       
I
T
M
R
   
G38 Measure area and perimeter of rectangles, triangles and irregular polygons using blocks, geoboards, graph paper etc.
5C
           
T
M
   
G39 Continue to measure volume (prisms) with manipulatives
5B, 5C
           
T
M
   
G40 Continue to measure temperature using Celsius and Fahrenheit thermometers
5A
           
T
M
   
G41 Continue to draw and measure plane figures using rulers, protractors, and compasses
4I
       
I
T
M
R
   
G42 Use pictures to explore similar and congruent figures; symmetry
4H
       
I
T
M
R
   


Strand
Standard
PK
K
1
2
3
4
5
6
7
8
Problem Solving
Mathematical Reasoning
                     
P1 Develop number concepts through sorting and classifying
1A
I
M
R
             
P2 Integrate comparison of sets and counting with other activities (real life situations)
1A
I
M
R
             
P3 Participate in sorting and classifying
1A
I
M
R
             
P4 Explore likeness and differences
1A
I
M
R
             
P5 Begin to recognize number sequence
1B
I
M
R
             
P6 Relate counting to repeated patterns
1B
I
M
R
             
P7 Describe rationale for grouping or sequencing
1C
I
M
R
             
P8 Categorize objects by attributes
1A
 
T
M
R
           
P9 Observe likenesses and differences using at least two categories at a time
1A
 
I
T
M
R
         
P10 Draw pictures and use manipulatives to represent problems
1A
 
I
T
M
R
         
P11 Use models, facts and relationships to draw conclusions
1A
         
T
M
R
   
P12 Use statements “and” or “not”
1A
           
I
T
   
P13 Use patterns and relationships to analyze math situations
1B
         
T
M
R
   
P14 Be able to justify answers, math checks
1C
       
I
T
M
R
   
P15 Use logical reasoning to reach simple conclusions
1D
       
I
T
M
R
   
P16 Apply a variety of reasoning strategies
1A
         
I
T
M
   
P17 Make conclusions based on inductive reasoning
1C
           
I
T
   
P18 Justify conclusions involving simple and compound
1D
           
I
T
   


 

VI.  Course Overview
 
Using a multi-sensory approach, students explore numbers and numeration, operations, fractions and decimals, geometry and measurement, probability and statistics. Students will use mathematical reasoning to analyze mathematical situations, make conjectures, gather evidence and construct arguments. Students will connect math to real world situations by problem solving, communicating mathematically and recognizing mathematics in their daily lives.
 
Units of Study will include:
1.  Numbers and Numeration
2.  Operations
3.  Fractions and Decimals
4.  Probability and Statistics
5.  Geometry and Measurement

VII.  Instructional Outline
 
1.  Numbers and Numeration
a.  Read, write, and count cardinal numbers through 100,000
b.  Read, write, and count ordinal numbers through 500
c.  Use place value and expanded notation to 999
d.  Use place value in decimals and in reading numbers through 100,000 with money
e.  Round numbers to thousands
f.  Use <, >, = symbols to compare numbers
g.  Use positive and negative integers (temperature)
h.  Predict the odd or even numbers in addition or subtraction
i.  Skip count to numbers greater than 100
j.  Recognize place value to millions and hundredths
k.  Round numbers to the nearest whole number
l.  Predict when the product of two numbers will be odd or even
m.  Look for patterns in sequences of positive numbers
 
2.  Operations
a.  Understand and name the commutative, associative, inverse, distributive properties for all operations
b.  Use estimation with operations
c.  Add and subtract whole numbers totaling less than 1,000,000 with or without regrouping
d.  Understand and use 0 and 1 in multiplication
e.  Use the associative property of multiplication
f.  Use manipulatives to understand division
g.  Know multiplication and division facts through 144
h.  Solve open sentences, with missing information, in situations of equality and inequality for all four operations
i.  Multiply by multiples of 10
j.  Apply the proper operation to problem-solving situations
k.  Make change up to $10.00
 

Back to top


3.  Fractions and Decimals
a.  Identify and use fractions and decimals in daily life
b.  Use terms numerator, denominator, and ratio
c.  Understand the relationship between fractions and decimals and money
d.  Compare fractions and decimals using a number line, using the symbols <,>, and =
e.  Find equivalent fractions
f.  Add and subtract fractions (with like denominators) and decimals to the hundreths
 
4.  Probability and Statistics
a.  Collect and organize data using tables, charts, models, pictures, tree diagrams and graphs
b.  Interpret and discuss data represented in table, charts and graphs
c.  Construct tables, charts and graphs
d.  Conduct experiments and predict outcomes and compare actual results
e.  Use ratios to express the probability of outcomes
f.  Recognize situations in which only an estimate is required

5.  Geometry and Measurement
a.  Measure time in half, quarter and five minute intervals, relate to fractions
b.  Understand the attributes of area, length, capacity, weight, volume, time, temperature, and angles
c.  Estimate and find measures such as length, perimeter, area, and volume using both standard and non-standard units
d.  Select and use appropriate measurement tools
e.  Identify equivalent measures
f.  Use concrete materials to name and investigate the properties of plane and solid figures
g.  Read, place, and locate ordered pairs on a grid (coordinate geometry)
h.  Recognize objects with symmetry
i.  Use geometric terms (See Glossary)

j.  Use a variety of manipulative materials and technologies to explore patterns ( tangrams, pattern blocks, software)

k.  Discover patterns in nature, art, music, and literature (discover examples of these in the real world)
 

6.  Problem Solving is integrated into all of the strands in the instructional outline.
Students will use the problem solving process and a variety of strategies in problem solving. Emphasis will be placed on students justifying answers and solution processes.

( See Math text for steps in process and strategies.)

VIII.  Course Benchmarks

IX. Units of Study

Unit One
 
Numbers and Numeration

A.   Unit Benchmarks
At the end of this unit students will be able to;
1.  Read, write, and count cardinal numbers through 100,000
2.  Read, write, and count ordinal numbers through 500
3.  Use place value and expanded notation to 999
4.  Use place value in decimals and in reading numbers through 100,000 with money
5.  Round numbers to thousands
6.  Use <, >, = symbols to compare numbers
7.  Use positive and negative integers (temperature)
8.  Predict the odd or even numbers in addition or subtraction
9.  Skip count to numbers greater than 100
10.  Recognize place value to millions and hundredths
11.  Round numbers to the nearest whole number
12.  Predict when the product of two numbers will be odd or even
13.  Look for patterns in sequences of positive numbers
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
 
2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
 
Number line
Rounding
Place Value
Decimals
Estimate
Positive
Expanded Notation (form)
Negative
Odd
Whole Number
Even
Predict
First
Product
Middle
Sequence
Last
Squared
Sum
Addition
Difference
Subtraction
Number Chart
Multiplication
Division
Order
Regrouping
Digit
Inequality
Associative Property
Inverse Operations
Factors
Estimation
Divisor
Equal
Equality
Minuend
Multiples
Common Factor
Quotient
Remainder
Distributive Property
Fractions
Ratio
Numerator
Denominator
Equivalent
Metric
Results
Tables
Graphs
Logic
Statistical Data
Outcomes
Frequency
Tally
Range
Diagrams
Probability
Independent Events
Meter
Centimeter
Decimeter
Weigh
Coordinate Geometry
Perimeter
Polygon
Plane Figures
Volume
Symmetry
Polygon
Circle
Chord
Radius
Angle
Diameter
Face Edge
Vertex
Line Segment
Parallel
Perpendicular
Intersecting
Similar
Congruent
Celsius
Fahrenheit
 
 

F. References and Resources


F.  References and Resources
 
 

Unit Two
 
Operations

A.  Unit Benchmarks
At the end of this unit students will be able to;
1.  Understand and name the commutative, associative, inverse, distributive properties for all operations
2.  Use estimation with operations
3.  Add and subtract whole numbers totaling less than 1,000,000 with or without regrouping
4.  Understand and use 0 and 1 in multiplication
5.  Use the associative property of multiplication
6.  Use manipulatives to understand division
7.  Know multiplication and division facts through 144
8.  Solve open sentences, with missing information, in situations of equality and inequality for all four operations
9.  Multiply by multiples of 10
10.  Apply the proper operation to problem-solving situations
11.  Make change up to $10.00
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
 
2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

F. References and Resources


F.  References and Resources
 
 
 
 
 
 
 
 
 
 
 
 
 


Unit Three



Unit Three
 

Fractions and Decimals

 
A.  Unit Benchmarks
At the end of this unit students will be able to;
1.  Identify and use fractions and decimals in daily life
2.  Use terms numerator, denominator, and ratio
3.  Understand the relationship between fractions and decimals and money
4.  Compare fractions and decimals using a number line, using the symbols <,>, and =
5.  Find equivalent fractions
6.  Add and subtract fractions (with like denominators) and decimals to the hundredths
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
 
2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

F. References and Resources


F.  References and Resources
 
 
 
 
 
 
 
 
 
 
 

Unit Four
 
Probability and Statistics

A.   Unit Benchmarks
At the end of this unit students will be able to;
1.  Collect and organize data using tables, charts, models, pictures, tree diagrams and graphs
2.  Interpret and discuss data represented in table, charts and graphs
3.  Construct tables, charts and graphs
4.  Conduct experiments and predict outcomes and compare actual results
5.  Use ratios to express the probability of outcomes
6.  Recognize situations in which only an estimate is required
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
 
2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

F. References and Resources


F.  References and Resources
 
 
 
 
 
 

Unit Five
 
Geometry and Measurement

A.   Unit Benchmarks
At the end of this unit students will be able to;
1.  Measure time in half, quarter and five minute intervals, relate to fractions
2.  Understand the attributes of area, length, capacity, weight, volume, time, temperature, and angles
3.  Estimate and find measures such as length, perimeter, area, and volume using both standard and non-standard units
4.  Select and use appropriate measurement tools
5.  Identify equivalent measures
6.  Use concrete materials to name and investigate the properties of plane and solid figures
7.  Read, place, and locate ordered pairs on a grid (coordinate geometry)
8.  Recognize objects with symmetry
9.  Use geometric terms (See Glossary)

10.  Use a variety of manipulative materials and technologies to explore patterns ( tangrams, pattern blocks, software)

11.  Discover patterns in nature, art, music, and literature (discover examples of these in the real world)
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
 
 
2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 
5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
b.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
c.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS: 		 
d.
 
 
 
 
 
 
 
 
Materials: 		  HPEHE:
 
MST:
 
ELA:
 
Arts:
 
LOTE:
 
CDOS:
 
SS:  		  

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

E. Vocabulary


E.  Vocabulary
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

F. References and Resources


F.  References and Resources
 
 
 
 
 
 

X.   Course Assessment

XI.   Curriculum Review Process
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Back to top